Atkin-Lehner |
3- 5+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
115275r |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1312707439575E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-601188,-542321883] |
[a1,a2,a3,a4,a6] |
Generators |
[18814:831625:8] |
Generators of the group modulo torsion |
j |
-1537923173973170041/7240132761328125 |
j-invariant |
L |
5.8192903240218 |
L(r)(E,1)/r! |
Ω |
0.077622267110071 |
Real period |
R |
9.3711678234647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804298 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23055e3 |
Quadratic twists by: 5 |